I just wanted to know if you have the tradition of "the kindly old woman" in America and if yes, what do you call her?

1) On Epiphany Eve the "kindly old woman" brought me many sweets and a pair of earings.
2) On 8 January I went back to school as all my classmates (did) / like all my classmates

In American culture, there isn't a specific tradition of a "kindly old woman" as described in your example. However, there are similar traditions and figures that exist in American folklore and holidays.

1) On Epiphany Eve, it is more common in America for children to anticipate gifts from Santa Claus on Christmas Eve rather than from a "kindly old woman." Santa Claus is a beloved figure who is believed to bring gifts to children who have been good throughout the year. He is often depicted as an older, jolly man with a white beard dressed in a red suit.

2) January 8th is not a significant date in American culture for returning to school or celebrating any particular tradition. In the United States, children usually return to school after winter break around the beginning of January, following the New Year's Day holiday.

If you are referring to a tradition or figure specific to a different culture or region, please provide more details, and I would be happy to provide further information.